The constant of proportionality in the equation:
P = 0.45*n
Is k = 0.45, so we can conclude that Julie is correct.
What is the constant of proportionality?A proportional relationship between two variables x and y is written as:
y = k*x
Where k is the constant of proportionality.
In this case, we have the variables P and n, and the proportional relationship is:
P = 0.45*n
So we can see that the value of the constant of proportionality is k = 0.45, so yes, Julie is correct.
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Help! What is f(4) for the function F(x) =5x+7?
f(4)=
Answer:
27
Step-by-step explanation:
f(x) = 5x + 7
f(4) = 5(4) + 7
= 20 + 7
f(4) = 27
through(−1,−5),slope=9
Answer:
y = 9x+4
Step-by-step explanation:
Using the slope-intercept formula
y = mx+b where m is the slope and b is the y-intercept
y = 9x+b since we are given the slope is 9
Using the point is (-1,-5)
-5 = 9(-1) +b
-5 =-9 +b
Solving for b
-5+9 =b
4 = b
y = 9x+4
Consider the following word problem: Twenty more than four times a number is equal to the difference between 2 and twice the number. Find the number.
Given:
The objective is to find the number.
Explanation:
Consider the unknown number as x,
First, four times the number can be written as 4x.
Twenty more than 4 time the number will be,
[tex]4x+20\ldots\ldots.\text{ (1)}[/tex]Then, twice the number can be represented as 2x.
And the difference between 2 and twice the number will be,
[tex]2-2x\ldots\ldots..(2)[/tex]Now, equate both the equations (1) and (2).
[tex]\begin{gathered} 4x+20=2-2x \\ 4x+2x=2-20 \\ 6x=-18 \\ x=\frac{-18}{6} \\ x=-3 \end{gathered}[/tex]Hence, the unknown number is -3.
Using the Pythagorean Theorem find the missing length and then round the result to the nearest tenth.
a = 7, b = 4, c =
Answer:11
Step-by-step explanation: because 7+4=11
4
Royce deposits $1200 into a savings account. After nine year, he made $3472.32.
What is the annual simple interest rate of the loan?
The interest rate needed to make $3,472.32 from simple interest on a principal of $1,200.00 over 9 years is 21.04% per year.
How to determine simple interest rate?Simple interest is expressed mathematically as;
A = P( 1 + rt )
Where A is accrued amount, P is principal, r is rate and t is the time period.
Given the data in the question;
Principal P = $1200 Accrued amount A = $3472.3Time period t = 9 yearsInterest rate r = ?Plug the given values into the simple interest formula and solve for r
A = P( 1 + rt )
r = (1/t)(A/P - 1)
r = ( 1/9 )( $3472.3/$1200 - 1)
r = ( 1/9 )( 2.8936 - 1)
r = ( 1/9 )( 1.8936)
r = 0.2104
Convert to percentage
r = 0.2104 × 100%
Rate r = 21.04%
Therefore, the interest rate of the loan is 21.04%.
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PLease help me with this!!
The linear equation is:
y = -6*x + 59
The slope is -6, and means that each hour the distance decreases by 6 miles.
The y-intercept is 59, and it is the initial distance to the waterfall.
How to get the linear equation?A general linear equation in the slope-intercept form is:
y = a*x + b
Where a is the slope (also called the rate of change) and b is the y-intercept.
We know that if the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope is:
a = (y₂ - y₁)/(x₂ - x₁).
Here we can define the variables:
y = distance
x = hours.
Then we have two points (8, 11) and (9, 5).
So the slope is:
a = (5 - 11)/(9 - 8) = -6
This means that the distance to the waterfall decreases by 6 miles each hour.
Then the linear equation is like:
y = -6*x + b
To find the value of b we can use any of the given points, I will use (9, 5), this means that:
5 = -6*9 + b
5 = -54 + b
54 + 5 = b
59 = b
This is the y-intercept, and gives the initial distance to the waterfall.
The equation is:
y = -6*x + 59
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The perimeter of a kite can be found using the formula P = 2S + 2L. Which
equation expresses S in terms of P and L?
Answer:
S = ( P - 2L) / 2
Step-by-step explanation:
P = 2S + 2L
P - 2L = 2S
(P - 2L) / 2 = S
Hope this helps :D
A car has 6 gallons of gasoline remaining in the tank. This is 60% of the total amount of gasoline the tank will hold. How many gallons of gasoline does the car’s tank hold?
the car's tank hold 10 gallons of gasoline.
Step-by-step explanation:
if 6 is 60% of total amount of gasoline so what is the 100% of the gasoline so when we solve the 100% of the gasoline will be 10.
solve: ? 100%
6 60%
it first we write the thing that we want to find
I NEED ANSWER REALLY FAST IN GEOMETRY 40 POINTS
The diagram shows a certain construction technique. If
mABF = x + 10x - 1, mCBF = 12x + 7,
what is mLCBF?
Find k such that f(x) = x^4+ kx³ + 2 has the factor x + 1.
K = 1 is the value when x = - 1 is Factor of equation .
Why do we use the term factors?
A factor is a number that completely divides another number. In other words, if multiplying two whole numbers results in a product, the numbers we are multiplying are factors of the product since the product is divisible by them. Factors can be found using either division or multiplication.As an illustration, 3 and 6 are factors of 12 because 12 3 = 4 and 12 6 = 2, respectively. 1, 2, 4, and 12 are the other components that make up 12.f(x) = x^4+ kx³ + 2
x + 1 = 0
x = -1 put in equation
(-1)⁴ + k( -1)³ + 2 = 0
1 - k + 2 =0
k = 1
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Convert the standard form equation into slope-intercept form. 5x - 4y = -20
Answer: y=5/4x+5 is the equation in slope-intercept form.
(-2)^-3 how would i do this
Answer:
[tex]\frac{-1}{8}[/tex]
Step-by-step explanation:
To make the -3 positive, you put the power under 1.
[tex]\frac{1}{(-2)^{3} }[/tex] This means [tex]\frac{1}{-2}[/tex] x [tex]\frac{1}{-2}[/tex] x [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{-8}[/tex] Which means the same as[tex]\frac{-1}{8}[/tex]
Please help me get a 100%!
Answer: D) there are no solutions.
Step-by-step explanation:
NEED ASAP PLEASEEEEEE
Need help on this question ASAP On a sunny day, a 3-foot red kangaroo casts a
shadow that is 5 feet long. The shadow of a nearby
eucalyptus tree is 7 feet long. Find the height of the
tree.
Answer:
i think it is 5 feet
Step-by-step explanation:
i hope this helps
MATH 100 points if you do this
Answer:
Increase
200%
Step-by-step explanation:
Since I can't figure out how to input my work in my answer as equations, I will attach my work from a screenshot!
Hope this helps! Have an amazing rest of your day! Please consider awarding me brainliest! ;)
Solve 32 ≤ −5z − 32.
The solution to the given linear equation is equivalent to z≥ -12.8
Solving linear equationLinear equations are equations that has a linear degree of 1. Given the following linear equation below:
32 ≤ −5z − 32
Add 32 to both sides
32 + 32 ≤ −5z − 32 + 32
64 ≤ −5z
Swap
-5z ≥ 64
Divide both sides by -5.
-5z/-5 ≥ 64/-5
z≥ 64/-5
z≥ -12.8
This gives the equivalent linear equation.
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Answer: Its c not d he kinda had it right but no
Step-by-step explanation:
8 grade, help please!!!
Answer:
Yes the triangles are congruent.
Step-by-step explanation:
You are going to move all the points 2 units to the left and 4 units up.
Look at the vertices of the triangle. The points are (0,1) and (-5,0) and (2,-5). If we moved all three of these points to places to the left and 4 up, they would be at (-2,4), (-7,4) and (0,-1) This would make a image that is a congruent triangle. You have just translated the original triangle 2 places to the left and 4 places up.
9 = 3/4v solve for v simplify your answer as much as possible
Answer:
v = 12
Step-by-step explanation:
to solve this equation you must first multiply 4 to both sides
9 * 4 = 3/4v * 4
36 = 3v
now divide 3 to both sides
36 / 3 = 3v / 3
12 = v
flip it
v = 12
that is your answer
A dice is rolled 2 times. What is the probability of showing a 4 on every roll?
Since we are rolling a die twice
The possible out come of rolling a die is
[tex]\mleft\lbrace1,2,3,4,5,6\mright\rbrace[/tex]Therefore, the probability of getting a 4 on every roll is
[tex]P(\text{getting a 4 on every roll) }=P(1st\text{ 4) and P(2nd 4)}[/tex]From the sample outcome above
P(of 4) = 1/6
Therefore
[tex]\begin{gathered} P(\text{getting a 4 on every roll)}=\frac{1}{6}\times\frac{1}{6} \\ P(\text{getting a 4 on every roll)}=\frac{1}{36} \\ P(\text{getting a 4 on every roll)}=0.0278 \end{gathered}[/tex]Therefore, thr porbability is 0.0278
please simplify this:(5x^4)^3
[tex](5x^{4} )^{3} \\=5x^{4*3} \\=5x^{12}[/tex]
I used the law of exponents as indicated below:
[tex](x^{n} )^{m} \\=x^{n*m} \\=x^{nm}[/tex]
Mikki used 18 tea bags to make 4 quarts of
iced tea. How many tea bags did Mikki use for
each quart of iced tea?
Answer:
[tex] \frac{18}{4} [/tex]
Step-by-step
4.5
Which of the following macromolecule provides quick energy to cells?
O lipid
O protein
O carbohydrate
O nucleic acid
Answer:
c
Step-by-step explanation:
I definitely didn't searched it
60 - 18 / 2 + 4 + 10 / 2 = 12
Answer:60 =12
Step-by-step explanation:
what is the slope of y=4.5
Answer:
0
Step-by-step explanation:
there is no x so it is 0
0 it is
Use the product rule to find the derivative of the following. (Hint: Write the quantity as a product.)k(t) = (t² − 2) ²k' (t) =
1. Kai teaches music lessons as an independent contractor. Last month, he taught 41
music lessons at $65 each. Determine the amount of Kai's self-employment taxes for
last month, using the tax rate of 15.3%.
The amount for Kai's self employment taxes for the last month is $407.745 .
In the question ,
it is given that
number of music lessons that Kai taught = 41
per music lesson charge = $65 .
the tax rate for self employment = 15.3%
So, the total amount earned is = (number of classes)*(per class charge)
= 41*65 = $2665
According to the question .
Kai's self employment tax = 15.3% of total amount earned
On substituting the values , we get
Kai's self employment tax = 15.3% of 2665
= 0.153*2665
= 407.745
Therefore , The amount for Kai's self employment taxes for the last month is $407.745 .
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I need help with this please someone help its due today
Answer:8
Step-by-step explanation:
2+6=8
Answer:
8 ghdhlhskgslhdlhskgz
Expand and simplify (x -6)(x + 2)
Answer: X^2 - 4x -12
1. Distribute :
(x−6)(x+2)
x(x+2)-6(x+2)
2. Distribute:
x(x+20-6(x+2)
X^2 +2x-6(x+2)
3. Distribute:
X^2+2x-6(x+2)
X^2+2x-6x-12
4. Combine like terms:
x^2+2x-6x-12
solution:X^2-4x-12
Line g has an equation of y = 1/3x - 1. Parallel to line g is line h, which passes throush the point (10, 2). What is the equation of line h?
The equation reads: y = 1/3x - 4/3.
Describe Line.The points that make up a line can be extended endlessly in opposite directions. Two points along the same line are referred to as collinear points.
The slopes are the same if two lines are parallel to one another.
Consequently, line h's slope would be equal to line g's 1/3.
All that is left to do is plug the points into the formula to determine the y-intercept.
2 = 1/3(10) + b
2 = 10/3 + b
2 - 10/3 = b
2-10/3 = b
-4/3 = b
Hence, the equation for h is y = 1/3x - 4/3.
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